In an isosceles triangle ABC with AC equipment, medians AM and BN are drawn.
September 10, 2021 | education
| In an isosceles triangle ABC with AC equipment, medians AM and BN are drawn. Find the perimeter of the triangle ABC if AN = 5.6 dm and BM = 7.4 dm.
Since AM and BN are medians of triangles, they divide the sides to which they are drawn into two equal segments. Then ВM = CM = 7.4 cm, and then BC = 2 * ВM = 2 * 7.4 = 14.8 cm.
AN = CN = 5.6 cm, and then AC = 2 * AN = 2 * 5.6 = 11.2 cm.
Since the triangle ABC is isosceles, then AB = BC = 14.8 cm.
Let’s define the perimeter of the triangle ABC. Ravs = AB + BC + AC = 14.8 + 14.8 + 11.2 = 40.8 cm.
Answer: The perimeter of the triangle is 40.8 cm.
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